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Finding the Fourth Proportional to 494.73, 745.85 and 468.27

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Solution

The fourth proportional to 494.73, 745.85 and 468.27 is: 705.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.73 : 745.85 = 468.27 : x
  2. Step 2: Convert to fraction form
    494.73/745.85 = 468.27/x
  3. Step 3: Cross multiply
    494.73x = 745.85 × 468.27
  4. Step 4: Simplify right side
    494.73x = 349,259.18
  5. Step 5: Solve for x
    x = 349,259.18/494.73
  6. Step 6: Final answer
    x = 705.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.